The market consensus is that Analog Electronic Corporation has an ROE $=23\%,$ a beta of $2\mathrm{.}20,$ and plans to maintain indefinitely its traditional plowback ratio of $2/5.$ This year$$s earnings were $$3\mathrm{.}80$ per share. The annual dividend was just paid. The consensus estimate of the coming year$$s market return is $15\%,$ and T$-$bills currently offer a $5\%$ return.

a$.$ Find the price at which Analog stock should sell. $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

b$.$ Calculate the P$/$E ratio. $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

c$.$ Calculate the present value of growth opportunities. $($Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

d$.$ Suppose your research convinces you Analog will announce momentarily that it will immediately reduce its plowback ratio to $3/5.$ Find the intrinsic value of the stock. $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$